Disposal of waste tyre rubber has become a major environmental issue in all parts of the world representing a very serious threat to the ecology. One of the possible solutions for the use of scrap tyre rubber is to incorporate it into concrete, to replace some of the natural aggregate. Up to now a small part is recycled and millions of tyres are just stockpiled, landfilled or buried. The volume of polymeric wastes like tyre rubber and polyethylene terephthalate bottles (PET) is increasing at a fast rate. This paper reviews the tests performed to determine the compressive strength of using rubber tyre waste concrete samples. It was observed that the compressive strength of the rubberized concrete were less than that of the control mix. This paper also reviews the performance of concrete mixtures incorporating of discarded tyre rubber as aggregate and cement replacements. The results show that, using of rubbers inspecimens containing nano silica, with respect to specimens containing micro silica, had higher values of compressive strength. It would be due to the so small particles of nano with comparison to micro silica materials.